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Micromechanics

About: Micromechanics is a research topic. Over the lifetime, 6000 publications have been published within this topic receiving 162635 citations.


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BookDOI
18 Apr 2013
TL;DR: In this paper, the authors present a finite element analysis of Laminates failure criteria, including the following: Failure Criteria Predefined Fields Buckling Eigenvalue Buckling Analysis Continuation Methods Free Edge Stresses Poisson's Mismatch Coefficient of Mutual Influence Computational Micromechanics Analytical Homogenization Numerical homogenization Local-Global Analysis Laminated RVE Viscoelasticity Viscoelselastic Models Boltzmann Superposition Correspondence Principle Frequency Domain Spectrum Representation Micromachanics of ViscoELastic Compos
Abstract: Mechanics of Orthotropic Materials Lamina Coordinate System Displacements Strain Stress Contracted Notation Equilibrium and Virtual Work Boundary Conditions Continuity Conditions Compatibility Coordinate Transformations Transformation of Constitutive Equations 3D Constitutive Equations Engineering Constants From 3D to Plane Stress Equations Apparent Laminate Properties Introduction to Finite Element Analysis Basic FEM Procedure General Finite Element Procedure Solid Modeling, Analysis, and Visualization Elasticity and Strength of Laminates Kinematic of Shells Finite Element Analysis of Laminates Failure Criteria Predefined Fields Buckling Eigenvalue Buckling Analysis Continuation Methods Free Edge Stresses Poisson's Mismatch Coefficient of Mutual Influence Computational Micromechanics Analytical Homogenization Numerical Homogenization Local-Global Analysis Laminated RVE Viscoelasticity Viscoelastic Models Boltzmann Superposition Correspondence Principle Frequency Domain Spectrum Representation Micromechanics of Viscoelastic Composites Macromechanics of Viscoelastic Composites FEA of Viscoelastic Composites Continuum Damage Mechanics One-Dimensional Damage Mechanics Multidimensional Damage and Effective Spaces Thermodynamics Formulation Kinetic Law in Three-Dimensional Space Damage and Plasticity Discrete Damage Mechanics Overview Approximations Lamina Constitutive Equation Displacement Field Degraded Laminate Stiffness and CTE Degraded Lamina Stiffness Fracture Energy Solution Algorithm Delaminations Cohesive Zone Method Virtual Crack Closure Technique Appendix A: Tensor Algebra Appendix B: Second-Order Diagonal Damage Models Appendix C: Software Used Index Problems appear at the end of each chapter.

242 citations

Journal ArticleDOI
TL;DR: In this article, the authors provide a critical review of the various micromechanical approaches that had evolved along different paths, and outline recent emerging trends, including the recent incorporation of parametric mapping into this approach has made it competitive with the finite-element method.
Abstract: Outside of the classical microstructural detail-free estimates of effective moduli, micromechanical analyses of macroscopically uniform heterogeneous media may be grouped into two categories based on different geometric representations of material microstructure. Analysis of periodic materials is based on the repeating unit cell (RUC) concept and the associated periodic boundary conditions. This contrasts with analysis of statistically homogeneous materials based on the representative volume element (RVE) concept and the associated homogeneous boundary conditions. In this paper, using the above classification framework we provide a critical review of the various micromechanical approaches that had evolved along different paths, and outline recent emerging trends. We begin with the basic framework for the solution of micromechanics problems independent of microstructural representation, and then clarify the often confused RVE and RUC concepts. Next, we describe classical models, including the available RVE-based models, and critically examine their limitations. This is followed by discussion of models based on the concept of microstructural periodicity. In the final part, two recent unit cell-based models, which continue to evolve, are outlined. First, a homogenization technique called finite-volume direct averaging micromechanics theory is presented as a viable and easily implemented alternative to the mainstream finite-element based asymptotic homogenization of unit cells. The recent incorporation of parametric mapping into this approach has made it competitive with the finite-element method. Then, the latest work based on locally-exact solutions of unit cell problems is described. In this approach, the interior unit cell problem is solved exactly using the elasticity approach. The exterior problem is tackled with a new variational principle that successfully overcomes the non-separable nature of the overall unit cell problem.

242 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element method has been employed to study the micromechanics and micro-echanisms in rubber-toughened cross-linked-epoxy polymers.
Abstract: The finite element method has been employed to study the micromechanics and micromechanisms in rubber-toughened cross-linked-epoxy polymers. A two-dimensional plane-strain model has been proposed and has successfully been used to identify the stress fields associated with the dispersed rubbery phase and to simulate the initiation and growth of localized plastic shear-bands running between the rubbery particles. The effects of the microstructure and mechanical properties of the multiphase polymer on the nature and magnitude of the stress fields have also been examined.

240 citations

Book
01 Jan 1993
TL;DR: In this paper, the generalized cells model is used to model the behavior of multiphase metal matrix composites with interfacial damage by the generalized cell model and an energy-based failure criterion for anisotrophic solids subject to damage.
Abstract: Part 1 Analysis: constitutive behaviour of multiphase metal matrix composites with interfacial damage by the generalized cells model, J. Aboudi an energy-based failure criterion for anisotrophic solids subject to damage, M.W. Biegler and M.M. Mehrabadi damage in solids due to periodically distributed cracks of arbitrary geometry, S. Nemat-Nasser et al the behaviour of of cracked cross-ply composite laminates under general in-plane loading, C.-L. Tsai and I.M. Daniel micromechanical characterization of damage-plasticity in metal matrix composites, G.Z. Voyiadjis and P.I. Katan on the micromechanics of defects in fibre-matrix composites, H.M. Zbib and I. Demir. Part 2 Analysis/applications: heterogeneity and its implications - micromechanical, statistical, fractal approach and their similarity, G. Frantziskonis fatigue crack growth characteristics of Ti-beta21S monolithic laminate, H. Ghonem et al progressive brittle damage modelling of fibrous composities by micromechanics based failure surfaces, C.-M. Huang and D.C. Lagoudas damage modelling at the macro- and meso-scales for 3D composites, P. Ladeveze et al. Part 3 Experiments: fracture toughness of discontinuous metal matrix composites, R.J. Arsenault analysis of residual stresses induced by cool down in viscoplastic metal matrix composites, G.S. Jeong et al eddy current characterization of silicon carbide reinforced aluminium metal-matrix composites, P.K. Liaw et al.

240 citations

Journal ArticleDOI
TL;DR: In this article, a grain-bridging model of crack-resistance or toughness (R-curve, or T -curve) properties of nontransforming ceramics is developed.

238 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023233
2022419
2021203
2020235
2019208
2018247